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Activity Number:
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598
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Type:
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Contributed
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Date/Time:
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Thursday, August 6, 2009 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Quality and Productivity
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| Abstract - #305356 |
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Title:
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Nonparametric Estimation in Ranked Set Sampling with a Concomitant
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Author(s):
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Nader M. Gemayel*+ and Doug Wolfe and Elizabeth Stasny
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Companies:
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The Ohio State University and The Ohio State University and The Ohio State University
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Address:
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404 Cockins Hall, Columbus, OH, 43210,
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Keywords:
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Ranked Set Sampling ; Judgment Ranking ; Concomitant Variable
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Abstract:
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We consider the problem of nonparametric estimation in Ranked Set Sampling (RSS) with imperfect ranking induced by a concomitant variable. We will see that this estimation problem occurs in very high-dimensional parameter spaces, and simple likelihood methods rarely zoom in on specific regions of the parameter space that agree with the data. We must therefore consider restrictions on the parameter space and different optimality criteria. In particular, we examine the interpretation, usefulness, and estimation of judgment rank distributions, and ask how we can relate two judgment order statistics of the same rank when their associated concomitant values differ significantly. We will conclude by applying our results to an appropriate data set.
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